11 citations · 15 across the 9 of their papers we have counts for
9 papers
Hochster's type formulae
Fernando Sancho de Salas, Alejandro Torres Sancho
We give an elementary proof and generalize some Hochsters's type formulae on local cohomology and Ext's of squarefree modules
On Koszul complex of a supermodule
Darío Sánchez Gómez, Fernando Sancho de Salas
This paper is devoted to an exposition of the Koszul complex of a supermodule and its Berezinian from an intrinsic and as general as possible point of view. As an application, an a…
Dualizing and canonical complexes on finite posets
Fernando Sancho de Salas, Alejandro Torres Sancho
We develop Grothendieck's theory of dualizing complexes on finite posets, and its subsequent theory of Cohen-Macaulayness.
A geometrization of Stanley--Reisner theory
Fernando Sancho de Salas, Alejandro Torres Sancho
We give a geometric interpretation of the Stanley--Reisner correspondence, extend it to schemes, and interpret it in terms of the field of one element.
An affineness criterion for algebraic groups and applications
C. Sancho de Salas, F. Sancho de Salas, J. B. Sancho de Salas
We prove that a smooth and connected algebraic group is affine if and only if any invertible sheaf on any normal -variety is -invariant. For the proof, a key ingredient i…
Finite Spaces and Schemes
Fernando Sancho de Salas
A ringed finite space is a ringed space whose underlying topological space is finite. The category of ringed finite spaces contains, fully faithfully, the category of finite topolo…
Homotopy of ringed finite spaces
Fernando Sancho de Salas
A ringed finite space is a ringed space whose underlying topological space is finite. The category of ringed finite spaces contains, fully faithfully, the category of finite topolo…
Non-exact Integral Functors
Fernando Sancho de Salas
We give a natural notion of (non-exact) integral functor in the context of k-linear and graded categories. In this broader sense, we prove that every k-linear and graded functor is…
Koszul complexes and fully faithful integral functors
Fernando Sancho de Salas
We characterise those objects in the derived category of a scheme which are a sheaf supported on a closed subscheme in terms of Koszul complexes. This is applied to generalize to a…